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13648656 = 24373829
BaseRepresentation
bin110100000100…
…001100010000
3221200102102210
4310010030100
511443224111
61204312120
7224004000
oct64041420
927612383
1013648656
11778248a
1246a2640
132a9b538
141b54000
1512e90a6
hexd04310

13648656 has 80 divisors (see below), whose sum is σ = 41168000. Its totient is φ = 3894912.

The previous prime is 13648619. The next prime is 13648681. The reversal of 13648656 is 65684631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16050 + ... + 16878.

It is an arithmetic number, because the mean of its divisors is an integer number (514600).

Almost surely, 213648656 is an apocalyptic number.

13648656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13648656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20584000).

13648656 is an abundant number, since it is smaller than the sum of its proper divisors (27519344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13648656 is an equidigital number, since it uses as much as digits as its factorization.

13648656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 841 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 13648656 is about 3694.4087483656. The cubic root of 13648656 is about 238.9809570327.

The spelling of 13648656 in words is "thirteen million, six hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 829 1029 1176 1372 1658 2058 2352 2487 2744 3316 4116 4974 5488 5803 6632 8232 9948 11606 13264 16464 17409 19896 23212 34818 39792 40621 46424 69636 81242 92848 121863 139272 162484 243726 278544 284347 324968 487452 568694 649936 853041 974904 1137388 1706082 1949808 2274776 3412164 4549552 6824328 13648656